1) Center 2) Centricalness 3) Focus 4) Middle 5) Position 6) Spatial relation 7) The property of being central 1) Symmetry 
In graph theory and network analysis, centrality refers to indicators which identify the most important vertices within a graph. Applications include identifying the most influential person(s) in a social network, key infrastructure nodes in the Internet or urban networks, and super spreaders of disease. Centrality concepts were first developed in...
• (n.) The state of being central; tendency towards a center.
Cen·tral'i·ty noun ; plural Centralities The state of being central; tendency towards a center. « Meantime there is a great centrality , a centripetence equal to the centrifugence. R. W. Emerson. » 
[n] - the property of being central
noun the property of being central
a central position or state: the centrality of the sun. · a vital, critical, or important position: the centrality of education to modern civilization.